X-Git-Url: https://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FCube.hs;fp=src%2FCube.hs;h=026f4e966ccf53a0392b0a93667910627038ebef;hb=0696fc4f3e428d2156f0be4ca40728abf2e35abe;hp=4992851f3f7b3f7a3358e33852b53730c9269961;hpb=d47fe5a8e167d8bdc0b4edf2899eee351615ccf8;p=spline3.git diff --git a/src/Cube.hs b/src/Cube.hs index 4992851..026f4e9 100644 --- a/src/Cube.hs +++ b/src/Cube.hs @@ -113,42 +113,42 @@ instance Show Cube where -- | The left-side boundary of the cube. See Sorokina and Zeilfelder, -- p. 76. xmin :: Cube -> Double -xmin cube = (i' - 1/2) +xmin cube = (i' - 1 / 2) where i' = fromIntegral (i cube) :: Double -- | The right-side boundary of the cube. See Sorokina and Zeilfelder, -- p. 76. xmax :: Cube -> Double -xmax cube = (i' + 1/2) +xmax cube = (i' + 1 / 2) where i' = fromIntegral (i cube) :: Double -- | The front boundary of the cube. See Sorokina and Zeilfelder, -- p. 76. ymin :: Cube -> Double -ymin cube = (j' - 1/2) +ymin cube = (j' - 1 / 2) where j' = fromIntegral (j cube) :: Double -- | The back boundary of the cube. See Sorokina and Zeilfelder, -- p. 76. ymax :: Cube -> Double -ymax cube = (j' + 1/2) +ymax cube = (j' + 1 / 2) where j' = fromIntegral (j cube) :: Double -- | The bottom boundary of the cube. See Sorokina and Zeilfelder, -- p. 76. zmin :: Cube -> Double -zmin cube = (k' - 1/2) +zmin cube = (k' - 1 / 2) where k' = fromIntegral (k cube) :: Double -- | The top boundary of the cube. See Sorokina and Zeilfelder, -- p. 76. zmax :: Cube -> Double -zmax cube = (k' + 1/2) +zmax cube = (k' + 1 / 2) where k' = fromIntegral (k cube) :: Double @@ -170,7 +170,7 @@ center cube = top_face :: Cube -> Face.Face top_face cube = Face.Face v0' v1' v2' v3' where - delta = (1/2) :: Double + delta = (1 / 2) :: Double cc = center cube v0' = cc + ( Point delta (-delta) delta ) v1' = cc + ( Point delta delta delta ) @@ -183,7 +183,7 @@ top_face cube = Face.Face v0' v1' v2' v3' back_face :: Cube -> Face.Face back_face cube = Face.Face v0' v1' v2' v3' where - delta = (1/2) :: Double + delta = (1 / 2) :: Double cc = center cube v0' = cc + ( Point delta (-delta) (-delta) ) v1' = cc + ( Point delta delta (-delta) ) @@ -195,7 +195,7 @@ back_face cube = Face.Face v0' v1' v2' v3' down_face :: Cube -> Face.Face down_face cube = Face.Face v0' v1' v2' v3' where - delta = (1/2) :: Double + delta = (1 / 2) :: Double cc = center cube v0' = cc + ( Point (-delta) (-delta) (-delta) ) v1' = cc + ( Point (-delta) delta (-delta) ) @@ -208,7 +208,7 @@ down_face cube = Face.Face v0' v1' v2' v3' front_face :: Cube -> Face.Face front_face cube = Face.Face v0' v1' v2' v3' where - delta = (1/2) :: Double + delta = (1 / 2) :: Double cc = center cube v0' = cc + ( Point (-delta) (-delta) delta ) v1' = cc + ( Point (-delta) delta delta ) @@ -219,7 +219,7 @@ front_face cube = Face.Face v0' v1' v2' v3' left_face :: Cube -> Face.Face left_face cube = Face.Face v0' v1' v2' v3' where - delta = (1/2) :: Double + delta = (1 / 2) :: Double cc = center cube v0' = cc + ( Point delta (-delta) delta ) v1' = cc + ( Point (-delta) (-delta) delta ) @@ -231,7 +231,7 @@ left_face cube = Face.Face v0' v1' v2' v3' right_face :: Cube -> Face.Face right_face cube = Face.Face v0' v1' v2' v3' where - delta = (1/2) :: Double + delta = (1 / 2) :: Double cc = center cube v0' = cc + ( Point (-delta) delta delta) v1' = cc + ( Point delta delta delta ) @@ -735,7 +735,7 @@ prop_all_volumes_positive cube = -- we'd expect the volume of each one to be 1/24. prop_all_volumes_exact :: Cube -> Bool prop_all_volumes_exact cube = - and [volume t ~~= 1/24 | t <- tetrahedra cube] + and [volume t ~~= 1 / 24 | t <- tetrahedra cube] -- | All tetrahedron should have their v0 located at the center of the -- cube. @@ -940,7 +940,7 @@ prop_c2100_identity2 cube = prop_c3000_identity :: Cube -> Bool prop_c3000_identity cube = c t0 3 0 0 0 ~= c t0 2 1 0 0 + c t6 2 1 0 0 - - ((c t0 2 0 1 0 + c t0 2 0 0 1)/ 2) + - ((c t0 2 0 1 0 + c t0 2 0 0 1) / 2) where t0 = tetrahedron cube 0 t6 = tetrahedron cube 6 @@ -951,7 +951,7 @@ prop_c3000_identity cube = prop_c2010_identity :: Cube -> Bool prop_c2010_identity cube = c t0 2 0 1 0 ~= c t0 1 1 1 0 + c t6 1 1 0 1 - - ((c t0 1 0 2 0 + c t0 1 0 1 1)/ 2) + - ((c t0 1 0 2 0 + c t0 1 0 1 1) / 2) where t0 = tetrahedron cube 0 t6 = tetrahedron cube 6 @@ -962,7 +962,7 @@ prop_c2010_identity cube = prop_c2001_identity :: Cube -> Bool prop_c2001_identity cube = c t0 2 0 0 1 ~= c t0 1 1 0 1 + c t6 1 1 1 0 - - ((c t0 1 0 0 2 + c t0 1 0 1 1)/ 2) + - ((c t0 1 0 0 2 + c t0 1 0 1 1) / 2) where t0 = tetrahedron cube 0 t6 = tetrahedron cube 6 @@ -973,7 +973,7 @@ prop_c2001_identity cube = prop_c1020_identity :: Cube -> Bool prop_c1020_identity cube = c t0 1 0 2 0 ~= c t0 0 1 2 0 + c t6 0 1 0 2 - - ((c t0 0 0 3 0 + c t0 0 0 2 1)/ 2) + - ((c t0 0 0 3 0 + c t0 0 0 2 1) / 2) where t0 = tetrahedron cube 0 t6 = tetrahedron cube 6 @@ -984,7 +984,7 @@ prop_c1020_identity cube = prop_c1002_identity :: Cube -> Bool prop_c1002_identity cube = c t0 1 0 0 2 ~= c t0 0 1 0 2 + c t6 0 1 2 0 - - ((c t0 0 0 0 3 + c t0 0 0 1 2)/ 2) + - ((c t0 0 0 0 3 + c t0 0 0 1 2) / 2) where t0 = tetrahedron cube 0 t6 = tetrahedron cube 6 @@ -995,7 +995,7 @@ prop_c1002_identity cube = prop_c1011_identity :: Cube -> Bool prop_c1011_identity cube = c t0 1 0 1 1 ~= c t0 0 1 1 1 + c t6 0 1 1 1 - - ((c t0 0 0 1 2 + c t0 0 0 2 1)/ 2) + ((c t0 0 0 1 2 + c t0 0 0 2 1) / 2) where t0 = tetrahedron cube 0 t6 = tetrahedron cube 6 @@ -1019,23 +1019,23 @@ prop_c_tilde_2100_rotation_correct cube = -- What gets computed for c2100 of t6. expr1 = eval (function_values t6) $ - (3/8)*I + - (1/12)*(T + R + L + D) + - (1/64)*(FT + FR + FL + FD) + - (7/48)*F + - (1/48)*B + - (1/96)*(RT + LD + LT + RD) + - (1/192)*(BT + BR + BL + BD) + (3 / 8)*I + + (1 / 12)*(T + R + L + D) + + (1 / 64)*(FT + FR + FL + FD) + + (7 / 48)*F + + (1 / 48)*B + + (1 / 96)*(RT + LD + LT + RD) + + (1 / 192)*(BT + BR + BL + BD) -- What should be computed for c2100 of t6. expr2 = eval (function_values t0) $ - (3/8)*I + - (1/12)*(F + R + L + B) + - (1/64)*(FT + RT + LT + BT) + - (7/48)*T + - (1/48)*D + - (1/96)*(FR + FL + BR + BL) + - (1/192)*(FD + RD + LD + BD) + (3 / 8)*I + + (1 / 12)*(F + R + L + B) + + (1 / 64)*(FT + RT + LT + BT) + + (7 / 48)*T + + (1 / 48)*D + + (1 / 96)*(FR + FL + BR + BL) + + (1 / 192)*(FD + RD + LD + BD) -- | We know what (c t6 2 1 0 0) should be from Sorokina and @@ -1052,13 +1052,13 @@ prop_c_tilde_2100_correct cube = t6 = tetrahedron cube 6 fvs = function_values t0 expected = eval fvs $ - (3/8)*I + - (1/12)*(F + R + L + B) + - (1/64)*(FT + RT + LT + BT) + - (7/48)*T + - (1/48)*D + - (1/96)*(FR + FL + BR + BL) + - (1/192)*(FD + RD + LD + BD) + (3 / 8)*I + + (1 / 12)*(F + R + L + B) + + (1 / 64)*(FT + RT + LT + BT) + + (7 / 48)*T + + (1 / 48)*D + + (1 / 96)*(FR + FL + BR + BL) + + (1 / 192)*(FD + RD + LD + BD) -- Tests to check that the correct edges are incidental.